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Last updated on November 30th, 2024

LCM of 12 and 15

Q: What is the LCM of 5,15 and 20?

60 is the smallest number that appears commonly on the lists of the numbers 5,15 and 20. LCM (5,15,20) = 60

Q: What is the HCF of 5 and 20?

HCF of 5 and 20 can be found by listing the factors of the numbers → finding the largest common factor from the list of numbers. Factors of 5 = 1,5 Factors of 20 = 1,2,4,5,10,20 HCF (5,20) = 5

Q: Is 20 a multiple of 5?

Yes, 5 is a multiple of 20. When divided, no reminders are left behind. 20/5 = 4

Q: Is 0 a multiple of 5?

Yes, any non-zero integer is a multiple of 0.

Q: What is the LCM of 17 and 11?

187 is the smallest number that appears commonly on the lists of the numbers 11 and 17. LCM (11,17) =187

Professor Greenline Explaining Math Concepts

Foundation

Intermediate

Advance Topics

LCM is a common multiple, the smallest value between the numbers 12 and 15. Did you know? We apply LCM unknowingly in everyday situations like setting alarms and to synchronize traffic lights and when making music.

What is the LCM of 12 and 15?

The LCM of 12 and 15 is 60. We can find the LCM using the Listing multiples method, the prime factorization method and the long division method. These are explained below.

LCM of 12 and 15 Using Listing the Multiples

Step1; Write down the multiples of the numbers. Don’t stop too early.

12 = 12,24,48,60 …

15 = 15,60,45,60,75,…

Step 2: Find the smallest number common between the written multiples of 12 and 15

— The smallest common multiple is 60.

Thus, LCM(12,15) = 60

LCM of 12 and 15 Using Prime Factorization

Step 1— factorize the numbers into its prime factors

12 =2×2×3

15 =5×3

Step 2— find the highest powers of the factors of 12 and 15

Step 3— Multiply the highest powers

LCM(12,15) = 60

LCM of 12 and 15 Using Division Method

Write the numbers 12, 15 in a row

Divide them by their common prime factors, if there is one

Carry forward the numbers that are left undivided by the previously chosen factor

Continue dividing until the remainder is ‘1’

Multiply the divisors to find the LCM

LCM(12,15) = 60

Common Mistakes and how to avoid them while finding the LCM of 12 and 15

LCM of 12 and 15 Examples

Ray, the Character from BrightChamps Explaining Math Concepts

Problem 1

The GCF of two numbers is 3, and one of the numbers is 12. If the LCM of the two numbers is 60, find the missing number.

Ray, the Boy Character from BrightChamps Saying "Let’s Begin"

Explanation

Problem 2

Find the ratio of the GCF to the LCM of 12 and 15.

Explanation

Problem 3

Add the fractions 5/12 and 7/15 by finding the LCM of the denominators.

Explanation

FAQs on LCM of 12 and 15

1.What is the LCM of 5,15 and 20?

2.What is the HCF of 5 and 20?

3. Is 20 a multiple of 5?

4. Is 0 a multiple of 5?

5.What is the LCM of 17 and 11?

Important glossaries on the LCM of 12 and 15

Multiple — product of a number and a natural integer

Prime factor — number one gets after prime factorization any given number

Prime factorization — the process of breaking the number into its prime factors

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Hiralee Lalitkumar Makwana

About the Author

Hiralee Lalitkumar Makwana has almost two years of teaching experience. She is a number ninja as she loves numbers. Her interest in numbers can be seen in the way she cracks math puzzles and hidden patterns.